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Application of the Linear Response Theory to the Perfect Diamagnetism in Superconductors
Author(s) -
Tokita M.,
Zenmyo K.,
Haga E.
Publication year - 1992
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221700221
Subject(s) - diamagnetism , superconductivity , meissner effect , condensed matter physics , physics , magnetic field , linear response theory , hamiltonian (control theory) , zero (linguistics) , quantum mechanics , mathematics , mathematical optimization , linguistics , philosophy
Taking account of the Meissner effect ( B = 0 for the superconducting state), the vector potential A is defined not by B = rot A but by H = rot A to calculate the linear magnetic field response of a bulk superconductor. The magnetic interaction in the Bohm‐Pines theory is consistently introduced into the Hamiltonian of the system. On the basis of both the usual linear response theory and the BCS‐Bogolyubov theory, the static magnetic susceptibility χ = −1/4π, i.e. perfect diamagnetism, is obtained for the bulk superconductor at zero temperature.